title: Recent advances in diffusion MRI modeling: Angular and radial reconstruction.
abstract: Recent advances in diffusion magnetic resonance image (dMRI) modeling have led to the development of several state of the art methods for reconstructing the diffusion signal. These methods allow for distinct features to be computed, which in turn reflect properties of fibrous tissue in the brain and in other organs. A practical consideration is that to choose among these approaches requires very specialized knowledge. In order to bridge the gap between theory and practice in dMRI reconstruction and analysis we present a detailed review of the dMRI modeling literature. We place an emphasis on the mathematical and algorithmic underpinnings of the subject, categorizing existing methods according to how they treat the angular and radial sampling of the diffusion signal. We describe the features that can be computed with each method and discuss its advantages and limitations. We also provide a detailed bibliography to guide the reader.
authors.affiliation: School of Computer Science & Center for Intelligent Machines, McGill University, 3480 University Street, Montréal, QC, Canada H3A2A7. assemlal@cim.mcgill.ca
authors.forename: Haz-Edine
authors.initials: HE
authors.lastname: Assemlal
authors.forename: David
authors.initials: D
authors.lastname: Tschumperlé
authors.forename: Luc
authors.initials: L
authors.lastname: Brun
authors.forename: Kaleem
authors.initials: K
authors.lastname: Siddiqi
mesh_terms: D000465:Algorithms; D000818:Animals; D001921:Brain / Q000033:anatomy & histology*; D003198:Computer Simulation; D038524:Diffusion Magnetic Resonance Imaging / Q000379:methods* / Q000639:trends*; D006801:Humans; D007089:Image Enhancement / Q000379:methods; D007090:Image Interpretation, Computer-Assisted / Q000379:methods*; D021621:Imaging, Three-Dimensional / Q000379:methods*; D008953:Models, Anatomic; D015203:Reproducibility of Results; D012680:Sensitivity and Specificity